Recent content by mbraakhekke

Thanks to all for your suggestions. @JJacquelin: your derivation is very helpful. The remaining equation without the boundary conditions: (F'(x)-1)(F(x)+k)=C should be also solvable for more complex situations. Mathematica delivers a general solution in terms of the Lambert W (product...

Hi all, I'm trying to find an analytical solution to the following integro-differential equation: a f'(x)\int_0^x f(x)dx + b f'(x) + a [f(x)]^2 - a f(x) = 0 with initial condition: f(0)=1 This is a simplified problem for which I know the solution: f(x)=1. I'm trying to find...